This problem does not require the use of data mining software and focuses on knowledge of concepts and basic calculations. Jay Gatsby categorizes wines into one of three clusters. The centroids of these clusters, describing the average characteristics of a wine in each cluster, are listed in the following table. Characteristic Cluster 1 Cluster 2 Cluster 3 Alcohol 0.819 0.164 -0.937 Malic Acid -0.329 0.869 -0.368 Ash 0.248 0.186 -0.393 Alkalinity -0.677 0.523 0.249 Magnesium 0.643 -0.075 -0.573 Phenols 0.825 0.977 -0.034 Flavonoids 0.896 -1.212 0.083 Nonflavonoids -0.595 0.724 0.009 Proanthocyanidins 0.619 -0.778 0.010 Color Intensity 0.135 0.939 -0.881 Hue 0.497 -1.162 0.437 Dilution 0.744 -1.289 0.295 Proline 1.117 -0.406 -0.776 Jay has recently discovered a new wine from the Piedmont region of Italy with the following characteristics. In which cluster of wines should he place this new wine? Justify your choice with appropriate calculations. Characteristic Alcohol -0.984 Malic Acid -0.441 Ash 0.088 Alkalinity 0.639 Magnesium -1.203 Phenols 1.133 Flavonoids 0.04 Nonflavonoids -0.509 Proanthocyanidins -0.19 Color Intensity -0.758 Hue 0.75 Dilution -0.386 Proline 0.049 Calculate the following Euclidean distances. (Round your answers to three decimal places.) Euclidean distance from new wine and Cluster 1: Euclidean distance from new wine and Cluster 2: Euclidean distance from new wine and Cluster 3: In which cluster of wines should he place this new wine? Cluster 1 Cluster 2 Cluster 3